How do you find the inflection points of the graph of the function: #y= (1/x^2) - (1/x^3)#?
1 Answer
Find the points on the curve at which the concavity changes.
The only inflection point is
Explanation:
The terminology used in calculus classes at schools I've worked at in the US (where the question was asked) is that an inflection point is a point on the graph at which the concavity changes.
Let
This is not a nice form for investigating concavity using the second derivative, so rewrite the function in a nicer form:
We need to investigate the sign of
and
The sign of
There is no point on the graph of this function when
At